Solve xy-x-y+6=0

$$xy-x-y+6=0$$

Solve for x

$$x=-\frac{6-y}{y-1}$$

$$y\neq 1$$

Steps for Solving Linear Equation

Add y to both sides. Anything plus zero gives itself.

$$xy-x+6=y$$

Subtract 6 from both sides.

$$xy-x=y-6$$

Combine all terms containing x.

$$\left(y-1\right)x=y-6$$

Divide both sides by y-1.

$$\frac{\left(y-1\right)x}{y-1}=\frac{y-6}{y-1}$$

Dividing by y-1 undoes the multiplication by y-1.

$$x=\frac{y-6}{y-1}$$

Solve for y

$$y=-\frac{6-x}{x-1}$$

$$x\neq 1$$

Steps for Solving Linear Equation

Add x to both sides. Anything plus zero gives itself.

$$xy-y+6=x$$

Subtract 6 from both sides.

$$xy-y=x-6$$

Combine all terms containing y.

$$\left(x-1\right)y=x-6$$

Divide both sides by x-1.

$$\frac{\left(x-1\right)y}{x-1}=\frac{x-6}{x-1}$$

Dividing by x-1 undoes the multiplication by x-1.

$$y=\frac{x-6}{x-1}$$